Calculate the discriminant: D = b^2 - 4ac = 4^2 - 4(2)(2) = 16 - 16 = 0.

Subtract 1 from both sides: 2x ≥ 2. Then divide by 2: x ≥ 1.

Factor the inequality: (x - 2)(x + 2) > 0. The solution set is x < -2 or x > 2.

Step 1: Use the formula -b/a. Here, b = 4 and a = 2. Step 2: Sum of roots = -4/2 = -2.

Add 20 to both sides: 5x^2 = 20. Divide by 5: x^2 = 4. Take the square root: x = ±2.

Use the vertex formula x = -b/2a: x = 4/2 = 2. Substitute x back to find y: y = 2^2 - 4(2) + 1 = -3. Vertex is (2, -3).